{"title":"论无限体积环境中量子多体系统的哈斯汀因式分解","authors":"Ayumi Ukai","doi":"arxiv-2407.12324","DOIUrl":null,"url":null,"abstract":"We will give self-contained and detailed proofs of the (multidimensional)\nHastings factorization as well as a (1-dimensional) area law in a wider setup\nthan previous works. Especially, they are applicable to both quantum spin and\nfermion chains of infinite volume as special cases.","PeriodicalId":501114,"journal":{"name":"arXiv - MATH - Operator Algebras","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Hastings factorization for quantum many-body systems in the infinite volume setting\",\"authors\":\"Ayumi Ukai\",\"doi\":\"arxiv-2407.12324\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We will give self-contained and detailed proofs of the (multidimensional)\\nHastings factorization as well as a (1-dimensional) area law in a wider setup\\nthan previous works. Especially, they are applicable to both quantum spin and\\nfermion chains of infinite volume as special cases.\",\"PeriodicalId\":501114,\"journal\":{\"name\":\"arXiv - MATH - Operator Algebras\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-07-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Operator Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2407.12324\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Operator Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.12324","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Hastings factorization for quantum many-body systems in the infinite volume setting
We will give self-contained and detailed proofs of the (multidimensional)
Hastings factorization as well as a (1-dimensional) area law in a wider setup
than previous works. Especially, they are applicable to both quantum spin and
fermion chains of infinite volume as special cases.
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